Can i have some help plz

a) 15 + 25x ≤ 70

b) 60 + 15x ≤ 500

Step-by-step explanation:

a) Let x represent the number of calculators that Ms. Burgos can buy. since each calculator cost $25, then the total cost of calculator = $25 * x = $25x

She bought three notebooks costing $5 each. Money spent on notebooks = 3 * $5 = $15

Hence the total money spent = $15 + $25x = 15 + 25x

She has only $70, therefore:

15 + 25x ≤ 70

b) Cayla initially has $60.

Cayla is saving $15 per week. Let us assume she saves for x weeks, hence money saved by Cayla = 15x

Therefore the total money saved = 60 + 15x

Since Cayla needs to save atleast $500, hence:

60 + 15x ≤ 500

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

expression #3 is not equivalent. the others are.